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Finding the Third Proportional to 641,602.50 and 1,405,677

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Solution

The third proportional to 641,602.50 and 1,405,677 is: 3,079,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,602.50 : 1,405,677 = 1,405,677 : x
  2. Step 2: Convert to fraction form
    641,602.50/1,405,677 = 1,405,677/x
  3. Step 3: Cross multiply
    641,602.50x = 1,405,677 × 1,405,677
  4. Step 4: Simplify right side
    641,602.50x = 1,975,927,828,329
  5. Step 5: Solve for x
    x = 1,975,927,828,329/641,602.50
  6. Step 6: Final answer
    x = 3,079,676.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.